Short answer yes, there is an OSR game called Five Torches Deep that is a cut down version of 5e.
Long answer, Their are a lot of OSR games. Most of them trend toward pretty simple, most of them have roots in d&d basic, which declared a lot of things too complex for the puny human mind like having a race and a class. I think I saw one that did away with attack rolls and AC believing they wasted time and brain space, if you made an attack you would just roll damage (combat being a bit more deadly).